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Radford, Luis – Mathematics Education Research Journal, 2014

In this article I present some results from a 5-year longitudinal investigation with young students about the genesis of embodied, non-symbolic algebraic thinking and its progressive transition to culturally evolved forms of symbolic thinking. The investigation draws on a cultural-historical theory of teaching and learning--the theory of…

Descriptors: Algebra, Mathematical Logic, Longitudinal Studies, Investigations

Sullivan, Peter; Mornane, Angela – Mathematics Education Research Journal, 2014

This is the report of an investigation in partnership with a team of junior secondary classroom teachers of the potential of posing more challenging tasks to their students. A range of data sources are used to represent the experience of teachers and students in a unit of work that incorporated a range of challenging tasks. Students learned the…

Descriptors: Mathematics Instruction, Problem Solving, Mathematics Activities, Student Reaction

Tjoe, Hartono; de la Torre, Jimmy – Mathematics Education Research Journal, 2014

In this paper, we discuss the process of identifying and validating students' abilities to think proportionally. More specifically, we describe the methodology we used to identify these proportional reasoning attributes, beginning with the selection and review of relevant literature on proportional reasoning. We then continue with the…

Descriptors: Abstract Reasoning, Mathematical Concepts, Thinking Skills, Theory Practice Relationship

Thompson, Carla J.; Davis, Sandra B. – Mathematics Education Research Journal, 2014

The use of formal observation in primary mathematics classrooms is supported in the literature as a viable method of determining effective teaching strategies and appropriate tasks for inclusion in the early years of mathematics learning. The twofold aim of this study was to (a) investigate predictive relationships between primary mathematics…

Descriptors: Classroom Observation Techniques, Mathematics Instruction, Elementary School Mathematics, Data

Ding, Meixia; Li, Xiaobao – Mathematics Education Research Journal, 2014

This study explores, from both constructivist and cognitive perspectives, teacher guidance in student-centered classrooms when addressing a common learning difficulty with equivalent fractions--lines or pieces--based on number line models. Findings from three contrasting cases reveal differences in teachers' facilitating and direct guidance…

Descriptors: Student Centered Curriculum, Guidance, Learning Problems, Curriculum Implementation

Lewis, Gary M. – Mathematics Education Research Journal, 2014

Novice secondary mathematics teachers attempting teaching consonant with the National Council of Teachers of Mathematics (1991, 2007) "Professional Standards for Teaching Mathematics" experience many stresses related to their attempts at student-centered instruction; prominent among those were novices' challenges when orchestrating…

Descriptors: Secondary School Mathematics, Secondary School Teachers, Novices, Program Implementation

Cox, Dana C.; Lo, Jane-Jane – Mathematics Education Research Journal, 2014

This study is focused on identifying and describing the reasoning patterns of middle grade students when examining potentially similar figures. Described here is a framework that includes 11 strategies that students used during clinical interview to differentiate similar and non-similar figures. Two factors were found to influence the strategies…

Descriptors: Intermediate Grades, Middle School Students, Interviews, Thinking Skills

Ramful, Ajay; Narod, Fawzia Bibi – Mathematics Education Research Journal, 2014

This interdisciplinary study sketches the ways in which proportional reasoning is involved in the solution of chemistry problems, more specifically, problems involving quantities in chemical reactions (commonly referred to as stoichiometry problems). By building on the expertise of both mathematics and chemistry education research, the present…

Descriptors: Interdisciplinary Approach, Logical Thinking, Mathematical Logic, Chemistry

Fielding-Wells, Jill; Dole, Shelley; Makar, Katie – Mathematics Education Research Journal, 2014

Proportional reasoning as the capacity to compare situations in relative (multiplicative) rather than absolute (additive) terms is an important outcome of primary school mathematics. Research suggests that students tend to see comparative situations in additive rather than multiplicative terms and this thinking can influence their capacity for…

Descriptors: Mathematical Logic, Mathematics Instruction, Elementary School Mathematics, Grade 4

Cortina, Jose Luis; Visnovska, Jana; Zuniga, Claudia – Mathematics Education Research Journal, 2014

We analyze a classroom design experiment, conducted in a fourth grade classroom, that served to explore an instructional path in which the introduction of unit fractions and supporting proportional reasoning coincide. Central to this path is the use of means of support in which the objects that unit fractions quantify are not characterized as…

Descriptors: Grade 4, Elementary School Students, Elementary School Mathematics, Mathematical Concepts

Miller, Jodie; Warren, Elizabeth – Mathematics Education Research Journal, 2014

Students living in disadvantaged contexts and whose second language is English (ESL) are at risk of not succeeding in school mathematics. It has been internationally recognised that students' socioeconomic background and their achievements in mathematics is more pronounced for Australian students (Thomson et al. 2011). This gap is even more…

Descriptors: Foreign Countries, Mathematics Education, English (Second Language), English Language Learners

Hunter, Jodie – Mathematics Education Research Journal, 2014

Current reforms in mathematics education advocate the development of mathematical learning communities in which students have opportunities to engage in mathematical discourse and classroom practices which underlie algebraic reasoning. This article specifically addresses the pedagogical actions teachers take which structure student engagement in…

Descriptors: Foreign Countries, Algebra, Logical Thinking, Elementary School Mathematics

Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja – Mathematics Education Research Journal, 2014

Within mathematics curricula, algebra has been widely recognized as one of the most difficult topics, which leads to learning difficulties worldwide. In Indonesia, algebra performance is an important issue. In the Trends in International Mathematics and Science Study (TIMSS) 2007, Indonesian students' achievement in the algebra domain was…

Descriptors: Foreign Countries, Algebra, Literature Reviews, Mathematics Tests

Roche, Anne; Clarke, Doug M.; Clarke, David J.; Sullivan, Peter – Mathematics Education Research Journal, 2014

The content and purpose of written unit plans in mathematics is an under-researched area. In this article, we provide a brief overview of research on teachers' planning processes and the place of mental and written plans. We report on data from a questionnaire completed by 357 teachers from Victorian Catholic primary schools, where we focused on…

Descriptors: Elementary School Teachers, Mathematics Instruction, Elementary School Mathematics, Activity Units

Wright, Vince – Mathematics Education Research Journal, 2014

Pirie and Kieren (1989 "For the learning of mathematics", 9(3)7-11, 1992 "Journal of Mathematical Behavior", 11, 243-257, 1994a "Educational Studies in Mathematics", 26, 61-86, 1994b "For the Learning of Mathematics":, 14(1)39-43) created a model (P-K) that describes a dynamic and recursive process by which…

Descriptors: Foreign Countries, Mathematics Instruction, Numeracy, Comprehension